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Simplifying 4x + 38 = 7x + 5 Reorder the terms: 38 + 4x = 7x + 5 Reorder the terms: 38 + 4x = 5 + 7x Solving 38 + 4x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 38 + 4x + -7x = 5 + 7x + -7x Combine like terms: 4x + -7x = -3x 38 + -3x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -3x = 5 + 0 38 + -3x = 5 Add '-38' to each side of the equation. 38 + -38 + -3x = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 5 + -38 -3x = 5 + -38 Combine like terms: 5 + -38 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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